Given numbers are 488,689,208,752,975

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 488,689,208,752,975 is 2370435600.

Find LCM of 488,689,208,752,975 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 13 x 61 x 53 x 1 x 47 x 75 = 2370435600

Therefore, the lowest common multiple of 488,689,208,752,975 is 2370435600.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

488 x 689 x 208 x 752 x 975 = 51277262899200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

488 : 1, 2, 4, 8, 61, 122, 244, 488

689 : 1, 13, 53, 689

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,689,208,752,975, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

689:13x 53

208:2x 2x 2x 2x 13

752:2x 2x 2x 2x 47

975:3x 5x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 13x 13 = 21632

Therefore, the value for common factors is 21632.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 51277262899200/(1x21632)

LCM = 51277262899200/21632

LCM = 2370435600

Thus, we can understand that the LCM of 488,689,208,752,975 is 2370435600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 440, 619, 352, 166, 870
• LCM of 146, 591, 481, 452, 334
• LCM of 424, 508, 593, 150, 468
• LCM of 384, 896, 898, 630, 121
• LCM of 671, 799, 822, 602, 295

1. What is the LCM of 488, 689, 208, 752, 975?

Answer: LCM of 488, 689, 208, 752, 975 is 2370435600.

2. How to calculate the LCM of 488, 689, 208, 752, 975?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 488, 689, 208, 752, 975.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.